Question

Find the range f(x)=x^3-3 with domain[-1,2]

Find the range f(x)=x^3-3 with domain[-1,2]

Math   Precalculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

f(x)=

use the method of graph to find the range of given function

when f(x) is replaced with {f(x)-t} than the graph shifts down by t units

to draw the graph of {x^3-3}

first draw the graph of x^3 then shifts it down by 3 units

the range of the function will be [f(-1),f(2)]

f(-1)=(-4) f(2)=5

therefore range of the function will be [(-4),5]

note:the above function is monotonically increasing therefore we can directly find the range of the function by putting the interval of domain

please upvote if you found my solution helpful

this motivates me to help students in best possible way

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the inverse function of f(x)= 1+2cos(x) and then find the domain and the range of...
Find the inverse function of f(x)= 1+2cos(x) and then find the domain and the range of the function of both f and f^-1?? Find the inverse function of f(x)=sqrt(3-e^2x) and then find the domain and the range of the function of both f and f^-1??
let f(x)=7^x a) find the ewuation for f^-1(x) b) what are the domain and range for...
let f(x)=7^x a) find the ewuation for f^-1(x) b) what are the domain and range for f c) what are the domain and range for f^-1
For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the...
For f(x,y)=ln(x^2−y+3). -> Find the domain and the range of the function z=f(x,y). -> Sketch the domain, then separately sketch three distinct level curves. -> Find the linearization of f(x,y) at the point (x,y)=(4,18). -> Use this linearization to determine the approximate value of the function at the point (3.7,17.7).
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x)...
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x) = −|x + 8|   domain= range= 1b.   Consider the following function. Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. (Enter your domains using interval notation.) f(x) = x − 3 g(x) = x2 (f ∘ g)(x)= domain = (g ∘ f)(x) = domain are the two functions equal? y n 1c. Convert the radian...
f(x)= log2(-x+2)-1, find the domain, range, asymptote, x and y intercept for f and evaluate at...
f(x)= log2(-x+2)-1, find the domain, range, asymptote, x and y intercept for f and evaluate at x=-4
a) Find the domain and range of the following function: f(x,y)=sin(ln(x+y)) b) sketch the domain. c)...
a) Find the domain and range of the following function: f(x,y)=sin(ln(x+y)) b) sketch the domain. c) on seperate graph, sketch three level curves
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4....
f(x) = (5)/(sqrt(4-x)), g(x)=x+4 1. find domain of f 2. domain of g 3. (f∘g)(x) 4. domain (f∘g)
The domain of the function g(x) is -1<x<6 and the range is -5<y<10. Find the domain...
The domain of the function g(x) is -1<x<6 and the range is -5<y<10. Find the domain and range of the following given functions. a). the domain of y=g(x-4) is? b.) the range of y=g(x)+2 is?
f(x) = 3x + 2    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ___
f(x) = 3x + 2    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________                                                                 Increasing: _____________________________ Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________ f(x) = ½ x – 4    Domain: ________________________________                 Graph: Range:   ________________________________ x-int: ______________ y-int: ______________ Maxima: _______________________________ Minima: ________________________________                                                                 Increasing: _____________________________   Decreasing: _____________________________ Constant: ______________________________ End Behavior: ___________________________ Discontinuities: __________________________ Asymptote: _____________________________ Symmetry: _____________________________ f(x) = x2 + x + 6    Domain: ________________________________                 Graph:...
4. Find the inverse function of f. State the domain and range (in interval notation) of...
4. Find the inverse function of f. State the domain and range (in interval notation) of the inverse function f exponent of −1 (x). f(x) = 4 + 5x all over 3x − 6
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT